I'm a bit confused

a basketball is thrown upwards. the height f(t), in feet, of the basketball at time t, in seconds, is given by the following function:
f(t)=−16t2+94t+12
which of the following is a reasonable domain of the graph of the function when the basketball falls from its maximum height to the ground?

3 < t < 6
2 < t < 5
1 < t < 4
0 < t < 3

When an object is thrown upwards, it reaches a maximum height and then comes back to its starting position. If we put f(t) = 0, we can get the time the ball was thrown and the time it returned.
Solving:
-16t² + 94t + 12 = 0
t = -0.125 and t = 6; negative time is not possible so the first solution is discarded.
The maximum height lies at the time exactly between the two times of zero displacement. Max height at
t = (-0.125 + 6)/2 = 2.9375 s ≈ 3
3 < t < 6
Therefore, the answer is the first option.